1321303412000 has 384 divisors, whose sum is σ = 3851933170176. Its totient is φ = 439104000000.

The previous prime is 1321303411997. The next prime is 1321303412029. The reversal of 1321303412000 is 2143031231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57760565 + ... + 57783435.

It is an arithmetic number, because the mean of its divisors is an integer number (10031075964).

Almost surely, 2^{1321303412000} is an apocalyptic number.

1321303412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1321303412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925966585088).

1321303412000 is an abundant number, since it is smaller than the sum of its proper divisors (2530629758176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321303412000 is a wasteful number, since it uses less digits than its factorization.

1321303412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23021 (or 23003 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1321303412000 its reverse (2143031231), we get a palindrome (1323446443231).

The spelling of 1321303412000 in words is "one trillion, three hundred twenty-one billion, three hundred three million, four hundred twelve thousand".